What is the length of the longest side of the triangle if the left side is 2x+12 and the bottom number is 6x-2 and the right side is 5x-9

Question

Mathematics

Kennedy Montes

29 January, 19:47

What is the length of the longest side of the triangle if the left side is 2x+12 and the bottom number is 6x-2 and the right side is 5x-9

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Esperanza Dorsey · Answer 1

Depends on the value of x. If x = 3, the triangle has sides 18, 6, 16 which satisfies the triangle inequality, so 2x+12 is longest in this case. If x is very large, the triangle inequality is still satisfied, and 6x-2 is the longest side.

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